Answers
Answer:
y= -60x+ 200
Step-by-step explanation:
Given: Initial distance from Kingston = 200 miles
Distance from Kingston after 2 hours= 80 miles
Step 1:
The general model for linear equations is given as:
y= ax+ b
where
a= slope
b= y-intercept
Step 2:
The y-intercept represents the initial value: 200 miles from the Kingston
b= 200
Therefore,
y= ax+ 200
Step 3:
As the car gets closer to Kingston, the distance keeps decreasing.
The car having covered 80miles need to cover another 120 miles after 2 hours
Hence, the slope would be negative
Slope:
a= -120 miles/2 hours
a=-60
The model therefore is:
y= -60x+ 200
Final answer: Option (D)
The model is : y= -60x+ 200
Related Questions
Please help MATH!!!!!?
Answers
Answer:
A, C
Step-by-step explanation:
Match the following, cylinder rectangular prism cone triangular prism square prism
Answers
Cylinder = 2πrh + 2πr²
where "h" - height, "r" - radiusRectangular Prism = 2lw + 2lh + 2wh also 2B + Ph
"l" - length, "w" - width, "h" - heightCone = πrl + πr²
"l" - slant height, "r" - radiusTriangular Prism = 2B + Ph
"B" - area of one base, "P" - perimeter of base, "h" - heightSquare Pyramid = 2l l + l²
"l " is height, "l" is side lengthFind the H.C.F and L.C.M. of the following.
（a）336,22,4
Answers
Answer:
hcf=2 lcm=3696
Step-by-step explanation:
Find x:
A)3
B)2.5
C)4
D)7.5
Answers
Answer:
D
Step-by-step explanation:
Because I said so ho3
The nth term of a different arithmetic sequence is 3n + 5
(b) Is 108 a term of this sequence? Show how you get your answer.
Answers
Answer:
No 108 is not a term of this sequence.
Step-by-step explanation:
3n+5 = 108
3n = 108 - 5
3n = 103
Divide both side with 3.
n = 103/3
n = 34.33
since n is not equal to 108 there it is not
Answer:
see below
Step-by-step explanation:
We can determine if 108 is a solution by setting 3n+5 =108
3n+5= 108
Subtract 5 from each side
3n+5-5=108-5
3n = 103
Divide by 3
3n/3 = 103/3
n = 103/3
This is not an integer so 108 is not a solutions
Sassan finds that 2 pints 1 cup of water has evaporated from the class aquarium. How many pints of water are left in the aquarium
Answers
The pints of water left in the aquarium is 2.5 pints
Converting cups to pintUsing the conversion rule sho below:
1 cup = 0.5 pint
If Sassan finds that 2 pints 1 cup of water have evaporated from the class aquarium, the total pint that evaporated is expressed as:
Total pint = 2 pints + 0.5 pint
Total pint = 2.5 pints
Hence the pints of water left in the aquarium is 2.5 pints
Learn more on pints and cups here: https://brainly.com/question/26941359
If LOVE is a square with LO = 2x + 3 and OV = 9, what is the value of x?
Answers
Answer:
3
Step-by-step explanation:
2x+3=9
You have to get rid of the 3 and the operation that is happening between the 2x and 3 is addition so you must do the opposite which is subtract .
2x+3-3=9-3
Cross out the 3's . What you do to one side do it to the other side .So subtract 3 from both sides .
2x÷2=6÷2
Now to get rid of the 2 you divide because the operation that is happening between the 2 and x is multiplication.And what u do to one side do it to the other . So
x= 3
Hope this helps and sorry if you don't under the explanation
Step-by-step explanation:
LO = 2x + 3 and OV = 9,
9=2x+3
9-3=2x
6=2x
6/2=x
x=3
A rectangle measures 2
2
_
3
inches by 1
5
_
9
inches. What is its area?
Answers
Answer:
40/25 or 1.481
Step-by-step explanation:
I dont know if its right but the multiplication give me this fraction or this decimal. Hope it helps :)
calculate the value of (6.9*10^-3)*(2*10^9) give your answer in standard form
Answers
Can the following set be the domain of an odd function?
(-3,-2)U(2,3)
Answers
Yes, the given set can be the domain of an odd function if:
f(-3) = -f(3)
f(-2) = -f(2).
What is the domain of a function?For a function y = f(x), we define the domain of the function as the set of possible values of x that we can input into the function.
And an odd function is a function such that:
f(-x) = -f(x).
In this case, we want to see if the set:
(-3,-2)U(2,3) = (-3, -2, 2, 3)
can be the domain.
It would only be the domain of an odd function if:
f(-3) = -f(3)
f(-2) = -f(2).
If you want to learn more about odd functions, you can read:
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i dont know how to do this stuff
Answers
I don't know how to do this stuff
pls help due today math
Answers
Answer:
x = 4
y = 8
Steps are given, below in the picture
I hope my answer helps you.
Step-by-step explanation:
Use trigonometric ratios to get one of the missing sides. Once you have that side you can use the theorem of pythagoras or you can use a trig ratio to get the remaining side.
SOH CAH TOA
The equation is C=35+4n.
If C= 500 what would N be? Please I really need the answer
Answers
Answer:
116.25 or [tex]\frac{465}{4}[/tex]
Step by Step Explanation;
500=35+4n
Subtract 35 from both sides
465=4n
[tex]\frac{465}{4}=n[/tex]
[tex]116.25=n[/tex]
Hope This Helps! :) Please Mark as Brainliest!
n=116.25
HELP PLSSS - WILL MARK BRAINLIEST
Select the correct answer
which situation is best modeled by a nonlinear function with time as the independent variable?
A. The value of a gift card that decreases by three dollars each month
B. The value of a $20 bill
C. The value of a collectible baseball card that increases by constant factor of 1.1, or by 10%, each year
D. The value of an investment that increases by two dollars each week
Answers
Answer: Most likely it is A
Step-by-step explanation:
Although it should be B, because a non linear function doesn't have a rate of change. I already looked up this question many times so we know It's NOT C.
The best modeled by a nonlinear function with time as the independent variable is:
The value of a collectible baseball card that increases by a constant factor of 1.1, or by 10%, each year.
A nonlinear function is one that does not follow a straight line.
In this case, t
A) describes a linear function since the value of the gift card decreases by a fixed amount each month, resulting in a straight-line relationship.
B) describes a constant value, which is a special case of a linear function where there is no change over time.
C) The value of the collectible baseball card increases by a constant factor of 1.1 each year, which results in exponential growth. This behavior is best modeled by a nonlinear function.
D) describes a linear function since the value of the investment increases by a fixed amount each week, resulting in a straight-line relationship.
Learn more about nonlinear function here:
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Hi please help with an explanation as well, I’ll reward branliest
Answers
Answer:
Perimeter of base: 40 :)
10 + 10 + 10 + 10 = 40
Slant height: 13
(it gives us this information) :)
Area of base: 100
10^2 = 100
Surface area: 65000
(1/2)(100 x 13)
1/2(1300)
650
Have an amazing day!!
Please rate and mark brainliest!!!
Answer and Explanation:
1) The perimeter is the sum of the base's side lengths, so it is:
P = 10 ft * 4 = 40 ft
2) The height can be calculated using the Pythagorean Theorem. Take half of the base's side length for the short leg (5 ft) and the slant height (13 ft) for the hyptenuse:
5^2 + h^2 = 13^2
25 + h^2 = 169
h^2 = 144
h = 12 ft
3) To find the lateral area, take the area of one of the triangular faces of the pyramid and multiply it by 4, since there are 4 triangular faces:
LA = 4 * (1/2)(10 * 13)
= 4 * 65
= 260 ft
4) The area of the base is the product of its dimensions:
A(base) = 10 * 10
= 100 ft^2
5) Surface area is the sum of the lateral area and the base's area, so just plug in the values from problems 3 and 4:
SA = LA + A(base)
= 260 + 100
= 360 ft^2
Which of the following situations best completes the following statement:
When subtracting an integer is the same as _____.
multiplying its opposite
subtracting its opposite
adding its opposite
dividing its opposite
Answers
Answer:
The answer would be adding its opposite.
Answer:
its subtracting its opposite
Step-by-step explanation:
is 3(a+y(6x))+(x+5) associative property of addition?
Answers
Answer:
Yes
Step-by-step explanation:
Your welcome!
Have a good day! :)
The measures of the angles of triangle PQR can be represented in terms of x
The measure of angle P is (2x)
The measure of angle Q is
(x+17)
The measure of angle R is (x-21)
Create an equation that can be used to find the measure of each angle.
Answers
Answer:2x+(x+17)+(x-21)=180
Step-by-step explanation:
Angles in a triangle add to 180 degrees.
The equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180
How to create an equation to determine the angles?The given parameters are:
P = 2x
Q = x + 17
R = x - 21
The sum of angles in a triangle is 180.
So, we have:
P + Q + R = 180
Substitute known values
2x + x + 17 + x - 21 = 180
Hence, the equation that can be used to find the measure of each angle is 2x + x + 17 + x - 21 = 180
Read more about triangles at:
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help please find x and y, 10 points and brainliest to best answer
Answers
Answer:
y =8
x=80
Step-by-step explanation:
5y-10=3y+6
5y-3y=6+10
2y =16
y=8
x+30+x-10=180
2x+20=180
2x=160
x=80
You randomly choose one Marble from the jar find the favorable outcome of the event
There are 6 blue marbles
4 red marbles and 2 green marbles
1. Choosing a blue marble
2.Not choosing a red marble
(Don’t mind the erased work it was a mistake I made)
Answers
Answer:
50% of blue
33.3333...% for not choosing red
The question inside the picture
Thank you so much :)
Answers
Answer:
The average number of hours studying per pound of the book bag
Step-by-step explanation:
Of 600 people surveyed, 220 were male and 350 had cell phones. Of those with cell phones, 230 were female. What is the probability that a person surveyed was either male or had a cell phone?
A)100/600 ≈ 0.167
B)480/600 = 0.8
C)340/600 ≈ 0.567
D)450/600 = 0.75
Answers
By definition of probability, the probability that a person surveyed was either male or had a cell phone is [tex]\frac{450}{600}[/tex]= 0.75
Definition of ProbabitityProbability is the greater or lesser possibility that a certain event will occur.
In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.
Union of eventsThe union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".
The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:
P(A∪B)= P(A) + P(B) -P(A∩B)
The intersection of events, A ∩ B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A ∩ B is verified when A and B occur simultaneously.
Probability that a person surveyed was either male or had a cell phoneIn first place, let's define the following events:
M: the person surveyed was male.C: the person surveyed had a cell phone.The probability that a person surveyed was either male or had a cell phone is calculated as:
P(M∪C)= P(M) + P(C) -P(M∩C)
In this case, you know:
P(M)= [tex]\frac{220}{600}[/tex]P(C)= [tex]\frac{350}{600}[/tex]P(M∩C)= [tex]\frac{120}{600}[/tex] (Of the 350 people who have cell phones, 230 are female. This means the remaining 120 people with cell phones are male.)Replacing in the definition of probability:
P(M∪C)= [tex]\frac{220}{600}[/tex] + [tex]\frac{350}{600}[/tex] - [tex]\frac{120}{600}[/tex]
Solving:
P(M∪C)= [tex]\frac{220+350 -120}{600}[/tex]
P(M∪C)= [tex]\frac{450}{600}[/tex]= 0.75
Finally, the probability that a person surveyed was either male or had a cell phone is [tex]\frac{450}{600}[/tex]= 0.75
Learn more about probability:
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help pls
just say what option
Answers
Answer:
D .the formation in the graph shows a positive non linear correlation, the weight of the dinosaur trends to increase according to its length.hope this helps you :)The information on the graph shows a positive nonlinear correlation and the weight of the dinosaur tends to increase according to its length.
What is a discrete graph?A discrete graph is also known as a scatter plot that shows the discontinuous and the nonlinear data point on the graph.
From the graph, we can see the increasing weight of the Dinosaur size vertical y-axis and the increasing length of the feet on the horizontal x-axis.
Therefore, we can conclude that the data points show an increasing nonlinear weight on the graph as the length increases.
Learn more about discrete graphs here:
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Ver en español
What is the surface area of this cone?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
395.64 sq. mm
hope it helps...!!!
What is the value of the y-intercept for all proportional relationships?
a. 1/2
b. 1/1
c. 0
d. 2
Answers
Answer:
a : 2 , b : 1 , c : 0 , d : 0
Step-by-step explanation:
a: 2
b: 1
c: 0
d:0
Answer:
d .
Step-by-step explanation:
I went over it in class .
A random number, x, is generated, where x is any real number.
(a) Manuel adds 2 to x. He subtracts x from 10. Manuel then multiplies these two results to give his number, y.
Show that y = 20 + 8x - x?.
Answers
Step-by-step explanation:
Say that x = 1, since x can be any real number.
From part a -> x +2 = 3
and -> 10-x =9
then multiply the two results to get y -> 3x9 = 27
Now look at y=20+8x-x and plug in the same value for x where x = 1
you get -> y = 20 + 8(1) -(1) which simplifies out to 27. Therefore the equation is proven since they equal the same value.
3. 9, 11, 33, N, 105.
Answers
Answer:
N = 35
Step-by-step explanation:
The pattern in this sequence is x3, +2.
3 * 3 = 9
9 + 2 = 11
11 * 3 = 33
33 + 2 = N
N * 3 = 105
N = 33 + 2 = 105/3 = 35
Which of the following is the graph of
y = |x – 1 – 4?
Answers
pls help me dont bot me
Answers
Answer:
c
Step-by-step explanation:
Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range
y = x + 2x - 5
Answers
Answer:
d. D: allreal numbers
R: y>= -6
Step-by-step explanation:
You are allowed to use a graphing calculator to see the graph. See image.
This curve is a parabola. Upward and downward opening parabolas have a domain of all real numbers. Any x can be found on the graph and/or any x can be used in the equation without limit. That's "all real numbers"
See the graph does not exist below -6. Range is all the y's on the graph and/or all the possible y's the equation will spit out. Here we can clearly see the graph only exists from -6 and up. Range is y>= -6.
